T-12•TablesTable entry for p is thecritical value F∗withprobability p lying toits right.F*Probability pTABLE EF critical valuesDegrees of freedom in the numeratorp 123456789.100 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86.050161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.541 .025647.79 799.50 864.16 899.58 921.85 937.11 948.22 956.66 963.28.0104052.2 4999.5 5403.4 5624.6 5763.6 5859.0 5928.4 5981.1 6022.5.001405284 500000 540379 562500 576405 585937 592873 598144 602284.1008.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38.05018.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.382 .02538.51 39.00 39.17 39.25 39.30 39.33 39.36 39.37 39.39.01098.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39.001998.50 999.00 999.17 999.25 999.30 999.33 999.36 999.37 999.39.1005.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24.05010.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.813 .02517.44 16.04 15.44 15.10 14.88 14.73 14.62 14.54 14.47.01034.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35.001167.03 148.50 141.11 137.10 134.58 132.85 131.58 130.62 129.86.1004.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94.0507.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00Degrees of freedom in the denominator4 .025 12.22 10.65 9.98 9.60 9.36 9.20 9.07 8.98 8.90.01021.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66.00174.14 61.25 56.18 53.44 51.71 50.53 49.66 49.00 48.47.1004.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32.0506.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.775 .02510.01 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68.01016.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16.00147.18 37.12 33.20 31.09 29.75 28.83 28.16 27.65 27.24.1003.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96.0505.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.106 .0258.81 7.26 6.60 6.23 5.99 5.82 5.70 5.60 5.52.01013.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98.00135.51 27.00 23.70 21.92 20.80 20.03 19.46 19.03 18.69.1003.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72.0505.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.687 .0258.07 6.54 5.89 5.52 5.29 5.12 4.99 4.90 4.82.01012.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72.00129.25 21.69 18.77 17.20 16.21 15.52 15.02 14.63 14.33Integre Technical Publishing Co., Inc. Moore/McCabe November 16, 2007 1:29 p.m. moore page T-12Tables•T-13Table entry for p is thecritical value F∗withprobability p lying toits right.F*Probability pTABLE EF critical values(continued)Degrees of freedom in the numerator10 12 15 20 25 30 40 50 60 120 100060.19 60.71 61.22 61.74 62.05 62.26 62.53 62.69 62.79 63.06 63.30241.88 243.91 245.95 248.01 249.26 250.10 251.14 251.77 252.20 253.25 254.19968.63 976.71 984.87 993.10 998.08 1001.4 1005.6 1008.1 1009.8 1014.0 1017.76055.8 6106.3 6157.3 6208.7 6239.8 6260.6 6286.8 6302.5 6313.0 6339.4 6362.7605621 610668 615764 620908 624017 626099 628712 630285 631337 633972 6363019.39 9.41 9.42 9.44 9.45 9.46 9.47 9.47 9.47 9.48 9.4919.40 19.41 19.43 19.45 19.46 19.46 19.47 19.48 19.48 19.49 19.4939.40 39.41 39.43 39.45 39.46 39.46 39.47 39.48 39.48 39.49 39.5099.40 99.42 99.43 99.45 99.46 99.47 99.47 99.48 99.48 99.49 99.50999.40 999.42 999.43 999.45 999.46 999.47 999.47 999.48 999.48 999.49 999.505.23 5.22 5.20 5.18 5.17 5.17 5.16 5.15 5.15 5.14 5.138.79 8.74 8.70 8.66 8.63 8.62 8.59 8.58 8.57 8.55 8.5314.42 14.34 14.25 14.17 14.12 14.08 14.04 14.01 13.99 13.95 13.9127.23 27.05 26.87 26.69 26.58 26.50 26.41 26.35 26.32 26.22 26.14129.25 128.32 127.37 126.42 125.84 125.45 124.96 124.66 124.47 123.97 123.533.92 3.90 3.87 3.84 3.83 3.82 3.80 3.80 3.79 3.78 3.765.96 5.91 5.86 5.80 5.77 5.75 5.72 5.70 5.69 5.66 5.638.84 8.75 8.66 8.56 8.50 8.46 8.41 8.38 8.36 8.31 8.2614.55 14.37 14.20 14.02 13.91 13.84 13.75 13.69 13.65 13.56 13.4748.05 47.41 46.76 46.10 45.70 45.43 45.09 44.88 44.75 44.40 44.093.30 3.27 3.24 3.21 3.19 3.17 3.16 3.15 3.14 3.12 3.114.74 4.68 4.62 4.56 4.52 4.50 4.46 4.44 4.43 4.40 4.376.62 6.52 6.43 6.33 6.27 6.23 6.18 6.14 6.12 6.07 6.0210.05 9.89 9.72 9.55 9.45 9.38 9.29 9.24 9.20 9.11 9.0326.92 26.42 25.91 25.39 25.08 24.87 24.60 24.44 24.33 24.06 23.822.94 2.90 2.87 2.84 2.81 2.80 2.78 2.77 2.76 2.74 2.724.06 4.00 3.94 3.87 3.83 3.81 3.77 3.75 3.74 3.70 3.675.46 5.37 5.27 5.17 5.11 5.07 5.01 4.98 4.96 4.90 4.867.87 7.72 7.56 7.40 7.30 7.23 7.14 7.09 7.06 6.97 6.8918.41 17.99 17.56 17.12 16.85 16.67 16.44 16.31 16.21 15.98 15.772.70 2.67 2.63 2.59 2.57 2.56 2.54 2.52 2.51 2.49 2.473.64 3.57 3.51 3.44 3.40 3.38 3.34 3.32 3.30 3.27 3.234.76 4.67 4.57 4.47 4.40 4.36 4.31 4.28 4.25 4.20 4.156.62 6.47 6.31 6.16 6.06 5.99 5.91 5.86 5.82 5.74 5.6614.08 13.71 13.32 12.93 12.69 12.53 12.33 12.20 12.12 11.91 11.72(Continued)Integre Technical Publishing Co., Inc. Moore/McCabe November 16, 2007 1:29 p.m. moore page T-13T-14•TablesTABLE EF critical values(continued)Degrees of freedom in the numeratorp 123456789.100 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56.0505.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.398 .0257.57 6.06 5.42 5.05 4.82 4.65 4.53 4.43 4.36.01011.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91.00125.41 18.49 15.83 14.39 13.48 12.86 12.40 12.05 11.77.1003.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44.0505.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.189 .0257.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03.01010.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35.00122.86 16.39 13.90 12.56 11.71 11.13 10.70 10.37 10.11.1003.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35.0504.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.0210 .0256.94 5.46 4.83 4.47 4.24 4.07 3.95 3.85 3.78.01010.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94.00121.04 14.91 12.55 11.28 10.48 9.93 9.52 9.20 8.96.1003.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27.0504.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.9011 .0256.72 5.26 4.63 4.28 4.04 3.88 3.76 3.66 3.59.0109.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63.00119.69 13.81 11.56 10.35 9.58 9.05 8.66 8.35 8.12.1003.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21.0504.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.8012 .0256.55 5.10 4.47 4.12 3.89 3.73 3.61 3.51 3.44.0109.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39Degrees of freedom in the denominator.001 18.64 12.97 10.80 9.63 8.89 8.38 8.00 7.71 7.48.1003.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16.0504.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.7113 .0256.41 4.97 4.35 4.00 3.77 3.60 3.48 3.39 3.31.0109.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19.00117.82 12.31 10.21 9.07 8.35 7.86 7.49 7.21 6.98.1003.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12.0504.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.6514 .0256.30 4.86 4.24 3.89 3.66 3.50 3.38 3.29 3.21.0108.86 6.51 5.56 5.04 4.69 4.46 4.28